30338672400 has 135 divisors (see below), whose sum is σ = 105319900309. Its totient is φ = 8087525760.

The previous prime is 30338672387. The next prime is 30338672407. The reversal of 30338672400 is 427683303.

The square root of 30338672400 is 174180.

It is a perfect power (a square), and thus also a powerful number.

30338672400 is a `hidden beast` number, since 30 + 3 + 386 + 7 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10921922064 + 19416750336 = 104508^2 + 139344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30338672407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10449349 + ... + 10452251.

Almost surely, 2^30338672400 is an apocalyptic number.

30338672400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30338672400 is the 174180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30338672400

30338672400 is an abundant number, since it is smaller than the sum of its proper divisors (74981227909).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30338672400 is an equidigital number, since it uses as much as digits as its factorization.

30338672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 30338672400 by its sum of digits (36), we get a square (1092192206400 = 1045080²).

30338672400 divided by its sum of digits (36) gives a square (842740900 = 29030²).

The spelling of 30338672400 in words is "thirty billion, three hundred thirty-eight million, six hundred seventy-two thousand, four hundred".